Thermo‐Mechanical Effects of Euler–Bernoulli Beams on Layered Transversely Isotropic Saturated Subgrade due to Moving Loads

Abstract

This paper investigates the thermo‐mechanical effects of Euler–Bernoulli beams on layered transversely isotropic (TI) saturated subgrade due to moving loads. Firstly, the governing equations for the beam and subgrade are derived using Euler–Bernoulli beam theory, poroelastic mechanics, and thermoelasticity. Then, by adopting the extended precise integration solution for the layered TI saturated subgrade and boundary conditions, the solution for the beam‐subgrade dynamic interaction is further achieved. After verifying the validity of the presented method, the effects of thermal load and moving load speed are finally investigated. Numerical results show that thermal loads significantly impact the beam‐subgrade dynamic interaction by inducing thermal axial forces in the beam and vertical displacement expansion in the subgrade. Additionally, the effect of thermal load should be fully considered in the design of beam, especially in high‐speed load and high‐temperature environment.